Barriers and Challenges in Computational Fluid Dynamics

The book emphasizes the problems facing CFD and focuses on non-traditional applications of CFD techniques, both scholarly and practical. There have been significant developments in CFD since the last workshop held in 1990 and this book brings together the developments in a single unified volume.

Preface. 1: Accuracy. Progress in Applied Numerical Analysis for Computational Fluid Dynamics; M.B. Giles. Examples of Error Propagation from Discontinuities; B. Engquist, B. Sjögreen. Accurate Finite Difference Algorithms; J.V. Goodrich. Computational Considerations for the Simulation of Discontinuous Flows; M. H. Carpenter, J.H. Casper. Space-Time Methods for Hyperbolic Conservation Laws; R.B. Lowrie, et al. II: Boundary Conditions and Stiffness Issues. Anisotropic Mesh Adaptation: A Step Towards a Mesh-Independent and User-Independent CFD; W.G. Habashi, et al. Artificial Boundary Conditions for Infinite-Domain Problems; S.V.Tsynkov. Issues and Strategies for Hyperbolic Problems with Stiff Source Terms; M. Arora, P.L. Roe. III: Discontinuities. Numerical Methods for a One-Dimensional Interface Separating Compressible and Incompressible Flows; R. Fedkiw, et al. On Some Outstanding Issues in CFD (1996); R. Löhner. Accurate and Robust Methods for Variable Density Incompressible Flows with Discontinuities; W.J. Rider, et al. A Variational Approach to Deriving Smeared-Interface Surface Tension Models; D. Jacqmin. IV: Other Applications. Compounded of Many Simples: Reflections on the Role of Model Problems in CFD; P. Roe. A Unified CFD-Based Approach to a Variety of Problems in Computational Physics; R.K. Agarwal. Second Order Godunov Schemes for 2D and 3D MHD Equations and Divergence-Free Condition; Wenlong Dai, P.R. Woodward. On Multidimensional Positively Conservative High-Resolution Schemes; T. Linde, P.L. Roe. A New Scheme for the Solutions of Multidimensional MHD Equations; N. Aslan, T. Kamash . V: Convergence. Local Preconditioning: Who Needs It? B. VanLeer. The Quest for Diagonalization of Differential Systems; P. Roe, E. Turkel. Multidimensional Upwinding: Unfolding the Mystery; D. Sidilkover.